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Distance and Topology- Back to the Roots of Topology with a General Concept of Distance [Paperback]

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Item description for Distance and Topology- Back to the Roots of Topology with a General Concept of Distance by Jobst Heitzig...

The aim of this book is threefold: to reinstate distance functions as a principal tool of general topology, to promote the use of distance functions on various mathematical objects and a thinking in terms of distances also in nontopological contexts, and to make more specific contributions to distance theory. We start by learning the basic properties of distance, endowing all kinds of mathematical objects with a distance function, and studying interesting kinds of mappings between such objects. This leads to new characterizations of many well-known types of mappings. Then a suitable notion of distance spaces is developed, general enough to induce most topological structures, and we study topological properties of mappings like the concept of strong uniform continuity. Important results include a new characterization of the similarity maps between Euclidean spaces, and generalizations of completion methods and fixed point theorems, most notably of the famous one by Brouwer. We close with a short study of distance visualization techniques.



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Item Specifications...


Pages   160
Est. Packaging Dimensions:   Length: 9.45" Width: 6.54" Height: 0.55"
Weight:   0.62 lbs.
Binding  Softcover
Release Date   Sep 11, 2007
Publisher   VDM Verlag Dr. Mueller e.K.
ISBN  3836433125  
ISBN13  9783836433129  


Availability  108 units.
Availability accurate as of Jan 21, 2017 06:16.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Business & Investing > Economics > Statistics
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Geometry & Topology > Topology



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